Answer:
[tex]X \sim Exp (\mu = 49)[/tex]
But also we can define the variable in terms of [tex]\lambda[/tex] like this:
[tex]X \sim Exp(\lambda= \frac{1}{\lambda} = \frac{1}{49})[/tex]
And usually this notation is better since the probability density function is defined as:
[tex] P(X) =\lambda e^{-\lambda x}[/tex]
Step-by-step explanation:
We know that the random variable X who represents the waiting time to see a shooting star during a meteor shower follows an exponential distribution and for this case we can write this as:
[tex]X \sim Exp (\mu = 49)[/tex]
But also we can define the variable in terms of [tex]\lambda[/tex] like this:
[tex]X \sim Exp(\lambda= \frac{1}{\lambda} = \frac{1}{49})[/tex]
And usually this notation is better since the probability density function is defined as:
[tex] P(X) =\lambda e^{-\lambda x}[/tex]
